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Finding the Fourth Proportional to 6,552.57, 9,038.41 and 3,898

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Solution

The fourth proportional to 6,552.57, 9,038.41 and 3,898 is: 5,376.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,552.57 : 9,038.41 = 3,898 : x
  2. Step 2: Convert to fraction form
    6,552.57/9,038.41 = 3,898/x
  3. Step 3: Cross multiply
    6,552.57x = 9,038.41 × 3,898
  4. Step 4: Simplify right side
    6,552.57x = 35,231,722.18
  5. Step 5: Solve for x
    x = 35,231,722.18/6,552.57
  6. Step 6: Final answer
    x = 5,376.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.